Ashifur September 9, 2023 - 18:33
Problem: TV was marked by 120% of its cost price. Then shopkeeper sold the TV at 10% discount. After that his profit was 2,400. Find cost price.

View all: PREMIER BANK LTD (TSO) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: Cost price is 30.000 tk

Explanation:

Let, the cost price be x Tk.

Marked price = 120% of x =$\frac{120x}{100}=\frac{6x}{5}$

At 10% discount on Tk. $\frac{6x}{5}$ selling price will be

= ($\frac{6x}{5}$-10% of $\frac{6x}{5}$) = ($\frac{6x}{5}-\frac{10}{100}X\frac{6x}{5}$)=($\frac{6x}{5}$-$\frac{3x}{25}$)=$\frac{30x-3x}{25}$=$\frac{27x}{25}$

Profit = ($\frac{27x}{25}$-X)=$\frac{27x-25x}{25}$=$\frac{2x}{25}$ tk

According to question, $\frac{2x}{25}$ =2,400

x=$\frac{2400×25}{2}$ = 30,000

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